[en] Purpose – The purpose of this paper is to develop a sub-domain perturbation technique for refining magnetic circuit models with finite element (FE) models of different dimensions. Design/methodology/approach – A simplified problem considering ideal flux tubes is first solved, as either a 1D magnetic circuit or a simplified FE problem. Its solution is then corrected via FE perturbation problems considering the actual flux tube geometry and the exterior regions, that allow first 2D and then 3D leakage fluxes. Each of these sub-problems requires an appropriate proper volume mesh, with no need of interconnection. The solutions are transferred from one problem to the other through projections of source fields between meshes.
Findings – The developed perturbation FE method allows to split magnetic circuit analyses into subproblems of lower complexity with regard to meshing operations and computational aspects. A natural progression from simple to more elaborate models, from 1D to 3D geometries, is thus possible, while quantifying the gain given by each model refinement and justifying its utility. Originality/value – Approximate problems with ideal flux tubes are accurately corrected when accounting for leakage fluxes via surface sources of perturbations. The constraints involved in the subproblems are carefully defined in the resulting FE formulations, respecting their inherent strong and weak nature. As a result, an efficient and accurate computation of local fields and global quantities, i.e. flux, MMF, reluctance, is obtained. The method is naturally adapted to parameterized analyses on geometrical and material data.
Disciplines :
Electrical & electronics engineering
Author, co-author :
Dular, Patrick ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
V Sabariego, Ruth ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
Krähenbühl, Laurent; Ampère (UMR CNRS 5005), Ecole Centrale de Lyon, Université de Lyon, Ecully, France
Language :
English
Title :
Magnetic model refinement via a perturbation finite element method – from 1D to 3D
Badics, Z., Matsumoto, Y., Aoki, K., Nakayasu, F., Uesaka, M., Miya, K., An effective 3-D finite element scheme for computing electromagnetic field distorsions due to defects in eddy-current nondestructive evaluation (1997) IEEE Transactions on Magnetics, 33 (2), pp. 1012-20
Chillet, C., Voyant, J.Y., Design-oriented analytical study of a linear electromagnetic actuator by means of a reluctance network (2001) IEEE Transactions on Magnetics, 37 (4), pp. 3004-11
Dular, P., Sabariego, R.V., A perturbation method for computing field distortions due to conductive regions with h-conform magnetodynamic finite element formulations (2007) IEEE Transactions on Magnetics, 43 (4), pp. 1293-6
Dular, P., Gyselinck, J., Henneron, T., Piriou, F., Dual finite element formulations for lumped reluctances coupling (2005) IEEE Transactions on Magnetics, 41 (5), pp. 1396-9
Dular, P., Sabariego, R.V., Gyselinck, J., Krähenbühl, L., Sub-domain finite element method for efficiently considering strong skin and proximity effects (2007) COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 26 (4), pp. 974-85
Dular, P., Sabariego, R.V., Ferreira Da Luz, M.V., Kuo-Peng, P., Krähenbühl, L., Perturbation finite-element method for magnetic circuits (2008) IET Science, Measurement & Technology, 2 (6), pp. 402-8
Dular, P., Sabariego, R.V., Ferreira Da Luz, M.V., Kuo-Peng, P., Krähenbühl, L., Perturbation finite element method for magnetic model refinement of air gaps and leakage fluxes (2009) IEEE Transactions on Magnetics, 45 (3)
Geuzaine, C., Meys, B., Henrotte, F., Dular, P., Legros, W., A Galerkin projection method for mixed finite elements (1999) IEEE Transactions on Magnetics, 35 (3), pp. 1438-41
